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Finding the Third Proportional to 99,090 and 216,288

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Solution

The third proportional to 99,090 and 216,288 is: 472,101.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,090 : 216,288 = 216,288 : x
  2. Step 2: Convert to fraction form
    99,090/216,288 = 216,288/x
  3. Step 3: Cross multiply
    99,090x = 216,288 × 216,288
  4. Step 4: Simplify right side
    99,090x = 46,780,498,944
  5. Step 5: Solve for x
    x = 46,780,498,944/99,090
  6. Step 6: Final answer
    x = 472,101.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.